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Sequentially complete inductive limits and regularity
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 697-699
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A notion of an almost regular inductive limits is introduced. Every sequentially complete inductive limit of arbitrary locally convex spaces is almost regular.
A notion of an almost regular inductive limits is introduced. Every sequentially complete inductive limit of arbitrary locally convex spaces is almost regular.
Classification : 46A13, 46A30
Keywords: sequential completeness; regular; resp. almost regular; inductive limit of locally convex spaces 
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Gomez-Wulschner, Claudia; Kučera, Jan. Sequentially complete inductive limits and regularity. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 697-699. http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a11/

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[4] J. Kučera: Sequential completeness of $LF$-spaces. Czechoslovak Math. J. 51(126) (2001), 181–183. | DOI | MR